An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces

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Abstract

A high-order accurate, explicit kernel-split, panel-based, Fourier–Nyström discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains. Extensive incorporation of analytic information about singular integral kernels and on-the-fly computation of nearly singular quadrature rules allow for very high achievable accuracy, also in the evaluation of fields close to the boundary of the computational domain.

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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics
  • Other Electrical Engineering, Electronic Engineering, Information Engineering

Keywords

  • Singular kernel, Boundary integral equation, Body of revolution, High order discretization, Acoustic resonator, Helmholtz equation
Original languageEnglish
Pages (from-to)686-703
JournalJournal of Computational Physics
Volume272
Publication statusPublished - 2014
Publication categoryResearch
Peer-reviewedYes

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Electromagnetic Theory (LUR000030), Numerical Analysis (011015004), Department of Electroscience (011041000)

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